Scaling properties of granular rheology near the jamming transition
arXiv:0803.2296 · doi:10.1143/JPSJ.77.123002
Abstract
Rheological properties of a dense granular material consisting of frictionless spheres are investigated. It is found that the shear stress, the pressure, and the kinetic temperature obey critical scaling near the jamming transition point, which is considered as a critical point. These scaling laws have some peculiar properties in view of conventional critical phenomena because the exponents depend on the interparticle force models so that they are not universal. It is also found that these scaling laws imply the relation between the exponents that describe the growing correlation length.
arXiv commentv2. Some minor comments are added. v3. & v.4 Numerical accuracy is improved
References in corpus (17)
- Jamming at Zero Temperature and Zero Applied Stress: the Epitome of Disorder
- Granular flow down an inclined plane: Bagnold scaling and rheology
- Random Packings of Frictionless Particles
- Dynamics of Highly Supercooled Liquids:Heterogeneity, Rheology, and Diffusion
- Critical Scaling of Shear Viscosity at the Jamming Transition
- Effects of compression on the vibrational modes of marginally jammed solids
- Jamming transition in emulsions and granular materials
- Dynamical Heterogeneity close to the Jamming Transition in a Sheared Granular Material
- Heterogeneous Diffusion in Highly Supercooled Liquids
- Time and length scales in supercooled liquids
- Effective Temperatures of a Driven System Near Jamming
- Dynamic criticality in glass-forming liquids
- Critical scaling and heterogeneous superdiffusion across the jamming/rigidity transition of a granular glass
- Multiscaling at Point J: Jamming is a Critical Phenomenon
- Approach to jamming in an air-fluidized granular bed
- Topological persistence and dynamical heterogeneities near jamming
- Criticality and Scaling Relations in a Sheared Granular Material
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- Jamming of Soft Particles: Geometry, Mechanics, Scaling and Isostaticity
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- Jamming transitions in amorphous packings of frictionless spheres occur over a continuous range of volume fractions
- The glass transition of dense fluids of hard and compressible spheres
- Microfluidic rheology of soft colloids above and below jamming
- A unified framework for non-Brownian suspension flows and soft amorphous solids
- The jamming transition as probed by quasistatic shear flow
- Model for the Scaling of Stresses and Fluctuations in Flows near Jamming
- Critical scaling near jamming transition for frictional granular particles
- Compressing nearly hard sphere fluids increases glass fragility
- Deformation of crystals: Connections with statistical physics
- Relaxations and rheology near jamming
- Critical behaviors of sheared frictionless granular materials near jamming transition
- Critical Scaling of Shearing Rheology at the Jamming Transition of Soft Core Frictionless Disks
- Duality in Shearing Rheology Near the Athermal Jamming Transition
- Diverging viscosity and soft granular rheology in non-Brownian suspensions
- Tuning Jammed Frictionless Disk Packings from Isostatic to Hyperstatic
- The Jamming Perspective on Wet Foams
- Characterizing rare fluctuations in soft particulate flows
- Jamming and growth of dynamical heterogeneities versus depth for granular heap flow
- Flow in linearly sheared two dimensional foams: from bubble to bulk scale
- Viscous forces and bulk viscoelasticity near jamming
- Merging fluid and solid granular behavior
- A jamming plane of sphere packings
- Avalanche contribution to shear modulus of granular materials
- Critical scaling and aging in cooling systems near the jamming transition
- Universal Jamming Phase Diagram in the Hard-Sphere Limit
- Scaling of the glassy dynamics of soft repulsive particles: a mode-coupling approach
- Linear and nonlinear rheology of dense emulsions: Identifying the glass and jamming regimes
- Critical Scaling of Bagnold Rheology at the Jamming Transition of Frictionless Two Dimensional Disks
- Shear jamming, discontinuous shear thickening, and fragile states in dry granular materials under oscillatory shear
- Fluid-solid transition in unsteady, homogeneous, granular shear flows
- Universal relaxation dynamics of sphere packings below jamming
- Dimensionality and viscosity exponent in shear-driven jamming
- Divergence of Viscosity in Jammed Granular Materials: A Theoretical Approach
- Drag acting on an intruder in a three-dimensional granular environment
- Diffusion and Velocity Auto-Correlation in Shearing Granular Media
- Finite size analysis of zero-temperature jamming transition under applied shear stress
- Non-local effects in inhomogeneous flows of soft athermal disks
- Discontinuous change of shear modulus for frictional jammed granular materials
- Drag Law of Two Dimensional Granular Fluids
- Critical scaling of jammed system after quench of temperature
- Elasticity-Controlled Jamming Criticality in Soft Composite Solids
- Rheology and dynamical heterogeneity in frictionless beads at jamming density
- Scaling laws for frictional granular materials confined by constant pressure under oscillatory shear
- Jet-induced jammed states of granular jet impacts
- Dynamic length scales in athermal, shear-driven, jamming of frictionless disks in two dimensions
- Complete mathematical theory of the jamming transition: A perspective
- Critical scaling of diffusion coefficients and size of rigid clusters of soft athermal particles under shear
- Weakly nonlinear analysis of two dimensional sheared granular flow
- Characterizing the Nature of the Yielding Transition
- Critical Scaling of Compression-Driven Jamming of Athermal Frictionless Spheres in Suspension
- Quantitative test of the time dependent Gintzburg-Landau equation for sheared granular flow in two dimension
- Phase transition in peristaltic transport of frictionless granular particles
- Asymmetric velocity correlations in shearing media
- Data-driven discovery of self-similarity using neural networks
- Effect of Collisional Elasticity on the Bagnold Rheology of Sheared Frictionless Two Dimensional Disks
- Mechanical properties of jammed packings of frictionless spheres under applied shear stress
- Non-Affine Displacements Below Jamming under Athermal Quasi-Static Compression
- Universality of stress-anisotropic and stress-isotropic jamming of frictionless spheres in three dimensions: Uniaxial vs isotropic compression
- Constitutive equations for granular flow with uniform mean shear and spin fields
- Translational and rotational velocities in shear-driven jamming of ellipsoidal particles
- Relaxation dynamics and long-time tails explain shear-induced diffusion of soft athermal particles near jamming
- Kinetic Friction by a Small Number of Intervening Inelastic Particles between Rough Surfaces
- Viscous dynamics of drops and bubbles in Hele-Shaw cells: drainage, drag friction, coalescence, and bursting